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单词 symmetric difference
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symmetric difference
symmetric difference n. see quot. 1936.
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the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > set theory or extension > symmetric group or difference
symmetric group1897
symmetric difference1936
symmetrical difference1978
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > elements in or parts of > relation between
well-ordering1914
symmetric difference1936
partial ordering1938
equivalence relation1940
symmetrical difference1978
1936 Trans. Amer. Math. Soc. 40 38 The Union (modulo 2), or symmetric difference, of two classes is the class of objects belonging to one or the other, but not to both, of those classes.
1971 J. H. Conway in Powell & Higman Finite Simple Groups vii. 225 If some non-empty -set has fewer than five elements, every set of the same cardinal would be a -set,..and by taking symmetric differences we should obtain every two-element set..as a -set, which cannot be.
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